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Finding the Fourth Proportional to 595.19, 892.98 and 287.00

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Solution

The fourth proportional to 595.19, 892.98 and 287.00 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.19 : 892.98 = 287.00 : x
  2. Step 2: Convert to fraction form
    595.19/892.98 = 287.00/x
  3. Step 3: Cross multiply
    595.19x = 892.98 × 287.00
  4. Step 4: Simplify right side
    595.19x = 256,286.84
  5. Step 5: Solve for x
    x = 256,286.84/595.19
  6. Step 6: Final answer
    x = 430.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.